Liouville theorem for exponentially harmonic functions on Riemannian manifolds with compact boundary

DOI10.1007/S00229-024-01543-5zbMATH Open1544.35093MaRDI QIDQ6564498

Jianyi Mao, Xinrong Jiang

Publication date: 1 July 2024

Published in: Manuscripta Mathematica (Search for Journal in Brave)

zbMATH Keywords

Liouville theoremexponentially harmonic functionsRiemannian manifolds with compact boundary

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value problems on manifolds (58J32) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

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• Rigidity of manifolds with boundary under a lower Ricci curvature bound
• An extension of E. Hopf's maximum principle with an application to Riemannian geometry
• Ricci curvature, geodesics and some geometric properties of Riemannian manifolds with boundary
• Liouville theorems for exponentially harmonic functions on Riemannian manifolds
• Gradient estimate for exponentially harmonic functions on complete Riemannian manifolds
• Analysis for diffusion processes on Riemannian manifolds
• Harmonic functions on complete riemannian manifolds
• Yau and Souplet-Zhang type gradient estimates on Riemannian manifolds with boundary under Dirichlet boundary condition

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